GCD of 342, 376, 60, 744 Calculator

Given Input numbers are 342, 376, 60, 744

In the factoring method, we have to find the divisors of all numbers

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

GCD of numbers is the greatest common divisor

So, the GCD (342, 376, 60, 744) = 2.

Given numbers are 342, 376, 60, 744

The list of prime factors of all numbers are

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 376 are 2 x 2 x 2 x 47

Prime factors of 60 are 2 x 2 x 3 x 5

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

The highest common occurrence is 2¹

Therefore, GCD of 342, 376, 60, 744 is 2.

Given numbers are 342, 376, 60, 744

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(342, 376) = 64296

GCD(342, 376) = ( 342 x 376 ) / 64296

= 342 / 376

= 342

Step2:

LCM(2, 60) = 60

GCD(2, 60) = ( 2 x 60 ) / 60

= 2 / 60

= 2

Step3:

LCM(2, 744) = 744

GCD(2, 744) = ( 2 x 744 ) / 744

= 2 / 744

= 2

So, Greatest Common Divisor of 342, 376, 60, 744 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 525, 754, 65, 660
• GCD of 940, 466, 75, 359
• GCD of 709, 449, 60, 420
• GCD of 329, 750, 50, 665
• GCD of 241, 839, 85, 990

Given numbers are 342, 376, 60, 744
The greatest common divisor of numbers 342, 376, 60, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 342, 376, 60, 744 is 2.

1. What is the GCD of 342, 376, 60, 744?

GCD of given numbers 342, 376, 60, 744 is 2

2. How to calculate the greatest common divisor of 342, 376, 60, 744?

We can find the highest common divisor of 342, 376, 60, 744 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 342, 376, 60, 744 i.e 2.

3. How can I use the GCD of 342, 376, 60, 744Calculator?

Out the numbers 342, 376, 60, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.